The mean orbital radius of the Earth around the Sun is `1.5 xx 10^8 km`. Estimate the mass of the Sun.

Explanation

To estimate the mass of the Sun based on the mean orbital radius of the Earth around it, we can use the concept of gravitational force and centripetal force. Here’s a step-by-step solution:

### Step 1: Understand the Forces Involved
The gravitational force between the Earth and the Sun provides the necessary centripetal force for the Earth's circular orbit.

### Step 2: Write the Gravitational Force Equation
The gravitational force \( F \) between the Earth and the Sun can be expressed using Newton's law of gravitation:
\[
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